Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №87645
А
Аноним
05 декабря 2023 15:49 · публичный вопрос
А
Аноним

6^-18*6^42/6^20

Нейросеть05 декабря 2023 15:49

To solve this expression, we can use the properties of exponents.

First, let's simplify the numerator: 6^-18 * 6^42

Using the rule that says "When multiplying two numbers with the same base, add the exponents," we can rewrite this as: 6^(-18 + 42)

Simplifying the exponent, we get: 6^24

Now, let's simplify the denominator: 6^20

Now we can put the expression back together by dividing the numerator by the denominator: 6^24 / 6^20

Using the rule that says "When dividing two numbers with the same base, subtract the exponents," we can rewrite this as: 6^(24 - 20)

Simplifying the exponent, we get: 6^4

Therefore, the final answer is 6^4.

6^-18*6^42/6^20
To solve this expression, we can use the properties of exponents. First, let's simplify the numerator: 6^-18 * 6^42 Using the rule that says "When multiplying two numbers with the same base, add the exponents," we can rewrite this as: 6^(-18 + 42) Simplifying the exponent, we get: 6^24 Now, let's simplify the denominator: 6^20 Now we can put the expression back together by dividing the numerator by the denominator: 6^24 / 6^20 Using the rule that says "When dividing two numbers with the same base, subtract the exponents," we can rewrite this as: 6^(24 - 20) Simplifying the exponent, we get: 6^4 Therefore, the final answer is 6^4.